Approximate controllability of delayed semilinear control systems.
Wang, Lianwen (2005)
Journal of Applied Mathematics and Stochastic Analysis
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Wang, Lianwen (2005)
Journal of Applied Mathematics and Stochastic Analysis
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Balachandran, K., Sakthivel, R. (2000)
Journal of Applied Mathematics and Stochastic Analysis
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Kumarasamy Sakthivel, Krishnan Balachandran, Jong-Yeoul Park, Ganeshan Devipriya (2010)
Kybernetika
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In this paper, we prove the exact null controllability of certain diffusion system by rewriting it as an equivalent nonlinear parabolic integrodifferential equation with variable coefficients in a bounded interval of with a distributed control acting on a subinterval. We first prove a global null controllability result of an associated linearized integrodifferential equation by establishing a suitable observability estimate for adjoint system with appropriate assumptions on the coefficients....
S. Guerrero, O. Yu. Imanuvilov (2007)
Annales de l'I.H.P. Analyse non linéaire
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Jeong, Jin-Mun, Ju, Eun Young, Lee, Kyeong Yeon (2010)
Journal of Inequalities and Applications [electronic only]
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Farid Ammar Khodja, Assia Benabdallah, Cédric Dupaix, Ilya Kostin (2005)
ESAIM: Control, Optimisation and Calculus of Variations
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We study the null controllability by one control force of some linear systems of parabolic type. We give sufficient conditions for the null controllability property to be true and, in an abstract setting, we prove that it is not always possible to control.